Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	46×	body	1280	valid
5.0ms	45×	body	640	valid
4.0ms	130×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	15×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.9b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

7.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
97.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series734.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(cbrt (+ x 1.0))
332.0ms	(cbrt x)
234.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify2.8s

Counts

53 → 53

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	131	649
1	312	597
2	928	573
3	3661	539
done	5003	513

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.9b	(- (cbrt (+ x 1.0)) (cbrt x))
8.4b	(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
10×	`log-prod`
8×	`difference-of-squares`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`distribute-lft-out`
2×	`log-div` `cbrt-div` `flip3--` `pow1/3` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 65

Calls

4 calls:

7.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt x)
75.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
30.0ms	(log (- (cbrt (+ x 1.0)) (cbrt x)))

series998.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ x 1.0))
296.0ms	(cbrt x)
231.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
301.0ms	(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	206	1230
1	496	1137
2	1791	1078
done	5001	1021

prune340.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.5b	(exp (- (log (+ 1.0 0)) (log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))))
8.4b	(log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
42×	`flip3-+` `flip-+`
40×	`associate-*r/`
36×	`log-div`
32×	`frac-add`
24×	`exp-sum`
18×	`associate--r-`
16×	`frac-times`
15×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt`
8×	`exp-prod` `associate-*l/`
7×	`log-prod`
6×	`cbrt-prod`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`associate--l+` `add-cbrt-cube` `distribute-lft-out--`
2×	`pow1/3` `rem-exp-log`
1×	`sub-neg` `exp-diff` `diff-log` `rem-log-exp` `distribute-lft-out` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
55.0ms	(exp (- (log (+ 1.0 0)) (log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))))
53.0ms	(log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt x)
259.0ms	(cbrt x)
698.0ms	(exp (- (log (+ 1.0 0)) (log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))))
430.0ms	(log (+ (* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))

simplify760.0ms

Counts

106 → 106

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	485	6602
1	1355	5860
done	5001	5641

prune749.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b	(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `*-un-lft-identity`
29×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
13×	`pow1` `associate-r` `associate-l`
12×	`cbrt-div`
10×	`distribute-lft-out`
9×	`swap-sqr`
8×	`add-exp-log` `pow1/3`
7×	`flip3-+` `flip-+`
6×	`unswap-sqr`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-*r/` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus`

Counts

4 → 104

Calls

4 calls:

57.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
110.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
247.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ x 1.0))))
704.0ms	(cbrt x)
325.0ms	(cbrt x)

simplify1.6s

Counts

116 → 116

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	203	1472
1	542	1323
2	2366	1221
done	5001	1204

prune491.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	20	46
done	20	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

433.0ms	1708×	body	1280	valid
266.0ms	4119×	body	80	valid
201.0ms	1219×	body	640	valid
129.0ms	605×	body	320	valid
27.0ms	349×	body	160	valid